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On discontinuous plastic states, with special reference to localized necking in thin sheets
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In this article, the authors investigated the permitted discontinuities of stress, velocity, and surface slope in a plastic-rigid sheet deformed in its plane, and the necessary restrictions on the stress-state and rate of workhardening were obtained for any yield function and plastic potential.Abstract:
Permissible discontinuities of stress, velocity, and surface slope are investigated in a plastic-rigid sheet deformed in its plane. One such discontinuity of velocity is shown to be the mathematical idealization of localized necking; the necessary restrictions on the stress-state and rate of workhardening are obtained for any yield function and plastic potential. The results are illustrated by an examination of the modes of necking in notched tension strips. The constraint factors at the yield point are obtained for notches with wedge-shaped or circular roots.read more
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Interaction curves corresponding to the decohesive carrying capacity of a cylindrical shell under combined loading
Michał Życzkowski,Tran-le Binh +1 more
TL;DR: In this paper, an elastic-perfectly plastic cylindrical shell under combined ring of radial forces and axial tension at infinity is studied in detail, and the Huber-Mises-Hencky yield condition is assumed.
Journal ArticleDOI
A hybrid method for detecting the onset of local necking by monitoring the bulge forming load
TL;DR: In this paper, a hybrid method of detecting the onset of local necking based on the experimental and simulated bulging load is presented, which consists mainly in comparing the experimental forming load, i.e., a load showing plastic instability, with the numerical predictions obtained by performing finite element simulation.
Journal ArticleDOI
Fracture Toughness Analysis of Automotive-Grade Dual-Phase Steel Using Essential Work of Fracture (EWF) Method
TL;DR: In this article, the essential work of fracture (EWF) was used for the determination of fracture toughness of thin sheets in a plane stress dominant condition, and the effect of notch tip radius and fatigue crack on the fracture toughness values were analyzed.
Tailor-made blanks for the aircraft industry
TL;DR: In this paper, the authors proposed a tailor-welded blanks (TMB) technology for the aircraft industry, where the fusion welding process that is used in the automotive industry is not suitable to the precipitation-hardened high strength aluminum alloys that are used in aircraft industry.
References
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Book
The mathematical theory of plasticity
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
Journal ArticleDOI
XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses.
J.F.W. Bishop,Rodney Hill +1 more
TL;DR: In this paper, a general relationship between stress and plastic strain in polycrystalline aggregate is derived for any metal in which individual crystals deform by slipping over preferred planes under a critical shear stress.
Journal ArticleDOI
CXXVIII. A theoretical derivation of the plastic properties of a polycrystalline face-centred metal
J.F.W. Bishop,Rodney Hill +1 more
TL;DR: In this paper, it was shown that the work-hardness of an isotropic aggregate of face-centred cubic crystals is a function only of the total plastic work if the grains hardened equally.
Journal ArticleDOI
Extended limit design theorems for continuous media
TL;DR: In this paper, the safe loads for a Prandtl-Reuss material subject to surface tractions or displacements which increase in ratio are extended to any perfectly plastic material and any history of loading.